A bicycle wheel rotating at a rate of 10 rad/s begins to accelerate at a rate of

Question

A bicycle wheel rotating at a rate of 10 rad/s begins to accelerate at a rate of 3 rad/s^2. After 5 seconds the rate of rotation will be A) 30 rad/s. B) 15 rad/s. C) 13 rad/s. D) 22 rad/s. E) 25 rad/s. You are designing a flywheel to store large amounts of kinetic energy. Which one of the following uniform shapes will be the most effective for storing the greatest amount or kinetic energy if all the objects have the same mass and same angular velocity? A) A solid sphere of diameter D rotating about a diameter. B) A solid ellipsoid of major axis D and minor axis D/2 rotating about D/s major axis. C) A thin-walled hollow cylinder of diameter D rotating about an axis perpendicular to the plane of the circular face at its center. D) A solid cylinder of diameter D rotating about an axis perpendicular to each face through its center. E) A solid thin bar of length D rotating about an axis perpendicular to it at its center. A disk starts from rest and has a constant angular acceleration. If it takes time T to make its first revolution, in time 2T (starting from rest) the disk will make A) Squareroot 2 revolutions B) 2 revolutions. C) 4 revolutions. D) 8 revolutions. E) 2 pi revolutions. Two unequal masses m and 2m are attached to a thin bar of negligible mass that rotates about an axis perpendicular to the bar. When m is a distance 2d from the axis and 2m is a distance d from the axis, the moment of inertia of this combination is I. If the masses are now interchanged, the moment of inertia will be A) (2/3)I. B) I. C) (3/2)I. D) 2I. E) 4I. A disk starts from rest and rotates with constant angular acceleration. If the angular velocity is omega at the end of the first two revolutions, then at the end of the first eight revolutions it will be A) (Squareroot 2) omega. B) (1/2) omega. C) omega. D) 2 omega. E) 4 omega.

Explanation / Answer

According to the chegg guidelines I am allowed to answer only 1 question at a time so I am answering question 1.

1) Provided values rate = 10 rad/s

Accelerate at a rate = 3 rad/s^2 and t =5.00 seconds

w = w(o) + xt

w = 10 + ( 3 * 5 ) = 25 rad/s ===============ANSWER) OPTION E) ANSWER)

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